Question

The sum of two polynomials is 8d^5-3c^3d^2+5c^2d^3-4CD^4+9. If one added is 2d^5-c^3d^4+8CD^4+1, what is the other added

Answer 1

The other added polynomial is 6d^5-3c^3d^2+5c^2d^3-12CD^4+8.

Step-by-step explanation:

To find the other polynomial, we need to subtract the given polynomial from the sum of the two polynomials. The sum of the two polynomials is 8d5-3c3d2+5c2d3-4CD4+9. The polynomial that is added is 2d5-c3d4+8CD4+1.

Subtracting the given polynomial from the sum, we get:

8d5-3c3d2+5c2d3-4CD4+9 - (2d5-c3d4+8CD4+1)

Simplifying the polynomial, we get:

6d5-3c3d2+5c2d3-12CD4+8

Answer 2

6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8

Step-by-step explanation:

We need to subtract the given polynomial from the sum:-

8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^4 + 8cd^4 +1 )

We need to distribute the negative over the parentheses:-

= 8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - 2d^5 + c^3d^4 - 8cd^4 -1

Bringing like terms together:

= 8d^5 - 2d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 4cd^4 - 8cd^4 + 9

- 1

Simplifying like terms

= 6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8